Question

Find the value of k for which the pair of linear equations 4x – 6y -1 = 0 and 2x + ky -7 = 0 represent parallel
lines.

Answer 1

Answer:

Answer is (A) k = 3

When lines are parallel, condition for it is

⇒$\frac{a_{1} }{a_{2} } =\frac{b_{1}}{b_{2} } \neq \frac{c_{1} }{c_{2} }$

⇒$\frac{4}{2} =\frac{6}{k} \neq \frac{1}{7}$

⇒ 2k = 6  

⇒ k = 3

Step-by-step explanation: